Stable ergodicity of skew products

被引：41

作者：

Burns, K ^{[1
]}

Wilkinson, A ^{[1
]}

机构：

[1] Northwestern Univ, Dept Math, Evanston, IL 60208 USA

来源：

ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE | 1999年 / 32卷 / 06期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1016/S0012-9593(00)87721-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Stable ergodicity is dense among compact Lie group extensions of Anosov diffeomorphisms of compact manifolds. Under the additional assumption that the base map acts on an infranilmanifold, an extension that is not stably ergodic must have a factor that has one of three special forms. A consequence is that stable ergodicity and stable ergodicity within skew products are equivalent in this case. (C) Elsevier, Paris.

引用

页码：859 / 889

页数：31

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